메뉴 건너뛰기




Volumn 48, Issue 2, 2000, Pages 294-307

Aggregation error bounds for a class of location models

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; ERROR ANALYSIS; HEURISTIC METHODS; LOCATION;

EID: 0034156131     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.48.2.294.12382     Document Type: Article
Times cited : (55)

References (56)
  • 1
    • 33645495382 scopus 로고    scopus 로고
    • Aggregation method experimentation for large-scale network location problems
    • Andersson, G., R. L. Francis, T. Nonnark, M. B. Rayco. 1998. "Aggregation method experimentation for large-scale network location problems," Location Sci., 6 25-39.
    • (1998) Location Sci. , vol.6 , pp. 25-39
    • Andersson, G.1    Francis, R.L.2    Nonnark, T.3    Rayco, M.B.4
  • 2
    • 0021829515 scopus 로고
    • K-eccentricity and absolute k-centrum of a probabilistic: Tree
    • Andreatta, G., F. M. Mason. 1985a. K-eccentricity and absolute k-centrum of a probabilistic: tree. European J. Oper. Res. 19 114-117.
    • (1985) European J. Oper. Res. , vol.19 , pp. 114-117
    • Andreatta, G.1    Mason, F.M.2
  • 3
    • 0022035182 scopus 로고
    • Properties of the k-centra in a tree network
    • _, _. 1985b. Properties of the k-centra in a tree network. Networks 15 21-25.
    • (1985) Networks , vol.15 , pp. 21-25
  • 4
    • 0025388168 scopus 로고
    • Conditional location problems on networks
    • Berman, O., D. Simchi-Levi. 1990. Conditional location problems on networks. Transp. Sci. 24 77-78.
    • (1990) Transp. Sci. , vol.24 , pp. 77-78
    • Berman, O.1    Simchi-Levi, D.2
  • 6
    • 0006511273 scopus 로고
    • Locations with spatial interactions: The quadratic problem
    • Chapter 9 P. B. Mirchandani and R. L. Francis (eds.). J. Wiley & Sons, New York
    • Burkard, R. 1990. Locations with spatial interactions: the quadratic problem. Chapter 9 in Discrete Location Theory. P. B. Mirchandani and R. L. Francis (eds.). J. Wiley & Sons, New York, 387-438.
    • (1990) Discrete Location Theory , pp. 387-438
    • Burkard, R.1
  • 7
    • 0002797694 scopus 로고
    • Data aggregation and the p-median problem in continuous space
    • A. Ghosh and G. Rushton (eds.), Van Nostrand Reinhold Publishers, New York
    • Casillas, P. A. 1987. Data aggregation and the p-median problem in continuous space. In Spatial Analysis and Location Allocation Models, A. Ghosh and G. Rushton (eds.), Van Nostrand Reinhold Publishers, New York, 227-244.
    • (1987) Spatial Analysis and Location Allocation Models , pp. 227-244
    • Casillas, P.A.1
  • 8
    • 0000301097 scopus 로고
    • A greedy heuristic for the set covering problem
    • Chvatal, V. 1979. A greedy heuristic for the set covering problem. Math. Oper. Res. 4 233-235.
    • (1979) Math. Oper. Res. , vol.4 , pp. 233-235
    • Chvatal, V.1
  • 9
    • 84977340007 scopus 로고
    • Elimination of source A and B errors in p-median location problems
    • Current, J. R., D. A. Schilling. 1987. Elimination of source A and B errors in p-median location problems. Geographical Analysis 19 95-110.
    • (1987) Geographical Analysis , vol.19 , pp. 95-110
    • Current, J.R.1    Schilling, D.A.2
  • 10
    • 0025005843 scopus 로고
    • Analysis of errors due to demand data aggregation in the set covering and maximal covering location problems
    • _, _. 1990. Analysis of errors due to demand data aggregation in the set covering and maximal covering location problems. Geographical Analysis 22 116-126.
    • (1990) Geographical Analysis , vol.22 , pp. 116-126
  • 12
    • 0026207536 scopus 로고
    • Locating tax facilities: A graphics-based microcomputer optimization model
    • Domich, P. D., K. L. Hoffman, R. H. F. Jackson, M. A. McClain. 1991. Locating tax facilities: a graphics-based microcomputer optimization model. Management Sci. 37 960-979.
    • (1991) Management Sci. , vol.37 , pp. 960-979
    • Domich, P.D.1    Hoffman, K.L.2    Jackson, R.H.F.3    McClain, M.A.4
  • 13
    • 0010813671 scopus 로고
    • On the conditional p-center problem
    • Drezner, Z. 1989. On the conditional p-center problem. Transp. Sci. 23 51-53.
    • (1989) Transp. Sci. , vol.23 , pp. 51-53
    • Drezner, Z.1
  • 14
    • 0029306709 scopus 로고
    • On the conditional p-median problem
    • _. 1995. On the conditional p-median problem. Comput. Oper. Res. 22 525-530.
    • (1995) Comput. Oper. Res. , vol.22 , pp. 525-530
  • 15
    • 0015433943 scopus 로고
    • Geometrical solutions for some minimax location problems
    • Elzinga, J., D. W. Hearn. 1972. Geometrical solutions for some minimax location problems. Transp. Sci. 6 379-394.
    • (1972) Transp. Sci. , vol.6 , pp. 379-394
    • Elzinga, J.1    Hearn, D.W.2
  • 17
    • 0024682446 scopus 로고
    • Analytical models for locating undesirable facilities
    • _, S. Neuman. 1989. Analytical models for locating undesirable facilities. European J. Oper. Res. 40 275-291.
    • (1989) European J. Oper. Res. , vol.40 , pp. 275-291
    • Neuman, S.1
  • 18
    • 21144468956 scopus 로고
    • On worst-case aggregation analysis for network location problems
    • Francis, R. L., T. J. Lowe. 1992. On worst-case aggregation analysis for network location problems. Ann. Oper. Res. 40 229-246.
    • (1992) Ann. Oper. Res. , vol.40 , pp. 229-246
    • Francis, R.L.1    Lowe, T.J.2
  • 19
    • 0030149527 scopus 로고    scopus 로고
    • Row-column aggregation for rectilinear distance p-median problems
    • _, _, M. B. Rayco. 1996. Row-column aggregation for rectilinear distance p-median problems. Transp. Sci. 30 160-174.
    • (1996) Transp. Sci. , vol.30 , pp. 160-174
    • Rayco, M.B.1
  • 20
    • 0032925138 scopus 로고    scopus 로고
    • A synthesis of aggregation methods for multi-facility location problems: Strategies for containing error
    • _, _, G. Rushton, M. B. Rayco. 1999. "A synthesis of aggregation methods for multi-facility location problems: strategies for containing error," Geographical Anal., 31 67-87.
    • (1999) Geographical Anal. , vol.31 , pp. 67-87
    • Rushton, G.1    Rayco, M.B.2
  • 22
    • 0141724320 scopus 로고
    • Objective function approximations in mathematical programming
    • Geoffrion, A. 1977. Objective function approximations in mathematical programming. Mathematical Programming 13 23-37.
    • (1977) Mathematical Programming , vol.13 , pp. 23-37
    • Geoffrion, A.1
  • 24
    • 0003279542 scopus 로고
    • Optimum location for centers in a network
    • Goldman, A. J. 1971. Optimum location for centers in a network. Transp. Sci. 5 212-221.
    • (1971) Transp. Sci. , vol.5 , pp. 212-221
    • Goldman, A.J.1
  • 25
    • 0018701398 scopus 로고
    • The aggregation problem in location-allocation
    • Goodchild, M. F. 1979. The aggregation problem in location-allocation. Geographical Analysis 11 240-254.
    • (1979) Geographical Analysis , vol.11 , pp. 240-254
    • Goodchild, M.F.1
  • 26
    • 0017914335 scopus 로고
    • Finding minimal center-median convex combination (cent-dian) of a graph
    • Halpern, J. 1978. Finding minimal center-median convex combination (cent-dian) of a graph. Management Sci. 24 535-544.
    • (1978) Management Sci. , vol.24 , pp. 535-544
    • Halpern, J.1
  • 27
    • 0000890583 scopus 로고
    • Optimum locations of switching centers and the absolute centers and medians of a graph
    • Hakimi, S. L. 1964. Optimum locations of switching centers and the absolute centers and medians of a graph. Oper. Res. 12 450-459.
    • (1964) Oper. Res. , vol.12 , pp. 450-459
    • Hakimi, S.L.1
  • 28
    • 0000890585 scopus 로고
    • Optimum distribution of switching centers in a communications network and some related graph-theoretic problems
    • _. 1965. Optimum distribution of switching centers in a communications network and some related graph-theoretic problems. Oper. Res. 13 462-475.
    • (1965) Oper. Res. , vol.13 , pp. 462-475
  • 29
    • 84977156799 scopus 로고
    • On locating path-or tree-shaped facilities on networks
    • _, E. F. Schmeichel, M. Labbé. 1993. On locating path-or tree-shaped facilities on networks. Networks 23 543-555.
    • (1993) Networks , vol.23 , pp. 543-555
    • Schmeichel, E.F.1    Labbé, M.2
  • 30
    • 0022111016 scopus 로고
    • Medi-centers of a tree
    • Handler, G. Y. 1985. Medi-centers of a tree. Transp. Sci. 19 246-260.
    • (1985) Transp. Sci. , vol.19 , pp. 246-260
    • Handler, G.Y.1
  • 32
    • 0001859370 scopus 로고
    • Errors in measuring distances from populations to service centres
    • Hillsman, E. L., R. Rhoda. 1978. Errors in measuring distances from populations to service centres. Ann. Regional Sci. 12 74-88.
    • (1978) Ann. Regional Sci. , vol.12 , pp. 74-88
    • Hillsman, E.L.1    Rhoda, R.2
  • 33
    • 0021897852 scopus 로고
    • Approximation schemes for covering and packing problems in image processing and VLSI
    • Hochbaum, D. S., W. Maas. 1985. Approximation schemes for covering and packing problems in image processing and VLSI. JACM 32 130-136.
    • (1985) JACM , vol.32 , pp. 130-136
    • Hochbaum, D.S.1    Maas, W.2
  • 34
    • 0000673322 scopus 로고
    • A GIS approach to eliminating source C aggregation error in p-median models
    • Hodgson, M. J., S. Neuman. 1993. A GIS approach to eliminating source C aggregation error in p-median models. Location Sci. 1 155-170.
    • (1993) Location Sci. , vol.1 , pp. 155-170
    • Hodgson, M.J.1    Neuman, S.2
  • 35
    • 0003023071 scopus 로고
    • Finite dominating sets for network location problems
    • Hooker, J. N., R. S. Garfinkel, C. K. Chen. 1991. Finite dominating sets for network location problems. Oper. Res. 39 100-118.
    • (1991) Oper. Res. , vol.39 , pp. 100-118
    • Hooker, J.N.1    Garfinkel, R.S.2    Chen, C.K.3
  • 36
    • 0008610524 scopus 로고
    • Accumulation point location on tree networks for guaranteed time distribution
    • Iyer, A. V., H. D. Ratliff. 1990. Accumulation point location on tree networks for guaranteed time distribution. Management Sci. 36 958-969.
    • (1990) Management Sci. , vol.36 , pp. 958-969
    • Iyer, A.V.1    Ratliff, H.D.2
  • 37
    • 0001679397 scopus 로고
    • Risk-pooling along a fixed delivery route using a dynamic inventory-allocation policy
    • Kumar, A., L. Schwartz, J. Ward. 1995. Risk-pooling along a fixed delivery route using a dynamic inventory-allocation policy. Management Sci. 41 344-362.
    • (1995) Management Sci. , vol.41 , pp. 344-362
    • Kumar, A.1    Schwartz, L.2    Ward, J.3
  • 38
    • 0002473927 scopus 로고
    • Hewlett-Packard gains control of inventory and services through design for localization
    • Lee, H., C. Billington, B. Carter. 1993. Hewlett-Packard gains control of inventory and services through design for localization. Interfaces 23 1-11.
    • (1993) Interfaces , vol.23 , pp. 1-11
    • Lee, H.1    Billington, C.2    Carter, B.3
  • 39
    • 0000086749 scopus 로고
    • Approximation algorithms for geometric median problems
    • Lin, J.-H., J. S. Vitter. 1992. Approximation algorithms for geometric median problems. Information Processing Letters 44 245-249.
    • (1992) Information Processing Letters , vol.44 , pp. 245-249
    • Lin, J.-H.1    Vitter, J.S.2
  • 40
    • 84987049811 scopus 로고
    • Conditional centers and medians on a graph
    • Minieka, E. 1980. Conditional centers and medians on a graph. Networks 10 262-272.
    • (1980) Networks , vol.10 , pp. 262-272
    • Minieka, E.1
  • 41
    • 0018479319 scopus 로고
    • Locating new passenger facilities on a transportation network
    • Mirchandani, P. B., A. R. Odoni. 1979. Locating new passenger facilities on a transportation network. Transp. Res. 13B 113-122.
    • (1979) Transp. Res. , vol.13 B , pp. 113-122
    • Mirchandani, P.B.1    Odoni, A.R.2
  • 43
    • 0342459168 scopus 로고
    • Spatial nodes in discrete location problems
    • _, J. M. Reilly. 1986. Spatial nodes in discrete location problems. Ann. Oper. Res. 10 329-350.
    • (1986) Ann. Oper. Res. , vol.10 , pp. 329-350
    • Reilly, J.M.1
  • 44
    • 0031418910 scopus 로고    scopus 로고
    • The influence of data aggregation on the stability of p-median location model solutions
    • Murray, A. T., J. M. Gottsegen. 1997. The influence of data aggregation on the stability of p-median location model solutions. Geographical Analysis 29 200-213.
    • (1997) Geographical Analysis , vol.29 , pp. 200-213
    • Murray, A.T.1    Gottsegen, J.M.2
  • 47
    • 0009566533 scopus 로고    scopus 로고
    • Asymptotically optimal aggregation for some unweighted p-center problems with rectilinear distances
    • Rayco, M. B., R. L. Francis. 1996. Asymptotically optimal aggregation for some unweighted p-center problems with rectilinear distances. Studies in Locational Analysis 10 25-36.
    • (1996) Studies in Locational Analysis , vol.10 , pp. 25-36
    • Rayco, M.B.1    Francis, R.L.2
  • 48
    • 0030319029 scopus 로고    scopus 로고
    • Error-bound driven demand point aggregation for the rectilinear distance p-center model
    • _, _, T. J. Lowe. 1997. Error-bound driven demand point aggregation for the rectilinear distance p-center model. Location Sci. 4 213-235.
    • (1997) Location Sci. , vol.4 , pp. 213-235
    • Lowe, T.J.1
  • 49
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R. T. 1970. Convex Analysis. Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 50
    • 3042960281 scopus 로고
    • Sub-additive functions
    • Rosenbaum, R. A. 1950. Sub-additive functions. Duke Math. J. 17 227-247.
    • (1950) Duke Math. J. , vol.17 , pp. 227-247
    • Rosenbaum, R.A.1
  • 51
    • 0002260459 scopus 로고
    • Applications of location models
    • Rushton, G. 1989. Applications of location models. Ann. Oper. Res. 18 25-42.
    • (1989) Ann. Oper. Res. , vol.18 , pp. 25-42
    • Rushton, G.1
  • 52
    • 0020722396 scopus 로고
    • Optimal locations for a class of nonlinear, single-facility location problems on a network
    • Shier, D. R., P. M. Bearing. 1983. Optimal locations for a class of nonlinear, single-facility location problems on a network. Oper. Res. 31 292-303.
    • (1983) Oper. Res. , vol.31 , pp. 292-303
    • Shier, D.R.1    Bearing, P.M.2
  • 53
    • 0001473091 scopus 로고
    • Centers to centroids in a graph
    • Slater, P. J. 1978. Centers to centroids in a graph. J. Graph Theory 2 209-222.
    • (1978) J. Graph Theory , vol.2 , pp. 209-222
    • Slater, P.J.1
  • 54
    • 0009502263 scopus 로고
    • The generalized p-forest problem on a tree network
    • Tamir, A., T. J. Lowe. 1992. The generalized p-forest problem on a tree network. Networks 22 217-230.
    • (1992) Networks , vol.22 , pp. 217-230
    • Tamir, A.1    Lowe, T.J.2
  • 55
    • 0029517206 scopus 로고
    • Political redistricting: A review
    • Williams, J. C., Jr. 1995. Political redistricting: a review. Papers in Regional Sci. 74 13-40.
    • (1995) Papers in Regional Sci. , vol.74 , pp. 13-40
    • Williams, J.C.1
  • 56
    • 0001621545 scopus 로고
    • Probabilistic analysis of geometric location problems
    • Zemel, E. 1985. Probabilistic analysis of geometric location problems. SIAM J. Alg. Disc. Meth. 6 189-200.
    • (1985) SIAM J. Alg. Disc. Meth. , vol.6 , pp. 189-200
    • Zemel, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.